Let me solve these problems step by step.
Part A: Multiplying by powers of 10
When we multiply a decimal by 10, 100, or 1000, we move the decimal point to the right:
- Multiply by 10 → move decimal 1 place right
- Multiply by 100 → move decimal 2 places right
- Multiply by 1000 → move decimal 3 places right
1) 0.432 × 100 = ?
Move decimal 2 places right: 0.432 → 43.2
Answer: 43.2
2) 1.92 × 10 = ?
Move decimal 1 place right: 1.92 → 19.2
Answer: 19.2
3) 6.3664 × 1000 = ?
Move decimal 3 places right: 6.3664 → 6366.4
Answer: 6366.4
4) 3.245 × 100 = ?
Move decimal 2 places right: 3.245 → 324.5
Answer: 324.5
5) 2.35 × 10 = ?
Move decimal 1 place right: 2.35 → 23.5
Answer: 23.5
6) 1.2364 × 1000 = ?
Move decimal 3 places right: 1.2364 → 1236.4
Answer: 1236.4
Part B: Dividing by powers of 10
When we divide a decimal by 10, 100, or 1000, we move the decimal point to the left:
- Divide by 10 → move decimal 1 place left
- Divide by 100 → move decimal 2 places left
- Divide by 1000 → move decimal 3 places left
1) 14.5 ÷ 10 = ?
Move decimal 1 place left: 14.5 → 1.45
Answer: 1.45
2) 123.8 ÷ 100 = ?
Move decimal 2 places left: 123.8 → 1.238
Answer: 1.238
3) 2366.1 ÷ 1000 = ?
Move decimal 3 places left: 2366.1 → 2.3661
Answer: 2.3661
4) 156.2 ÷ 100 = ?
Move decimal 2 places left: 156.2 → 1.562
Answer: 1.562
5) 2456.2 ÷ 1000 = ?
Move decimal 3 places left: 2456.2 → 2.4562
Answer: 2.4562
6) 26.3 ÷ 10 = ?
Move decimal 1 place left: 26.3 → 2.63
Answer: 2.63
Final Answer:
A) 1) 43.2, 2) 19.2, 3) 6366.4, 4) 324.5, 5) 23.5, 6) 1236.4
B) 1) 1.45, 2) 1.238, 3) 2.3661, 4) 1.562, 5) 2.4562, 6) 2.63
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing by powers of 10 worksheet.
